paper

On Some Topological Properties of Fourier Transforms of Regular Holonomic D-Modules

arXiv:1807.09147

Abstract

We study Fourier transforms of regular holonomic D-modules. In particular we show that their solution complexes are monodromic. An application to direct images of some irregular holonomic D-modules will be given. Moreover we give a new proof to the classical theorem of Brylinski and improve it by showing its converse.

15 pages, to appear in Canad. Math. Bull. arXiv admin note: substantial text overlap with arXiv:1801.07444